Symmetries and dynamics in constrained systems
Xavier Bekaert, Jeong-Hyuck Park
TL;DR
This paper reviews Hamiltonian dynamics in constrained systems, focusing on total Hamiltonian systems, symmetries, and Noether charges, including Grassmannian degrees of freedom, providing a systematic analysis of their properties.
Contribution
It offers a detailed, systematic analysis of symmetries and Noether charges in total Hamiltonian systems, emphasizing a comprehensive approach to constrained dynamics.
Findings
Systematic analysis of global and local symmetries in total Hamiltonian systems
Introduction of the concept of total Noether charges
Detailed treatment of Grassmannian degrees of freedom
Abstract
We review in detail the Hamiltonian dynamics for constrained systems. Emphasis is put on the total Hamiltonian system rather than on the extended Hamiltonian system. We provide a systematic analysis of (global and local) symmetries in total Hamiltonian systems. In particular, in analogue to total Hamiltonians, we introduce the notion of total Noether charges. Grassmannian degrees of freedom are also addressed in details.
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